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Fluid flow in a porous medium with transverse permeability discontinuity

Galina E. Pavlovskaya* and Thomas Meersmann

Chunyu Jin and Sean P. Rigby

  • Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham NG7 2RD, United Kingdom

  • Department of Chemical and Environmental Engineering, University of Nottingham, Nottingham NG7 2RD, United Kingdom

  • *Corresponding author: galina.pavlovskaya@nottingham.ac.uk
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Phys. Rev. Fluids 3, 044102 – Published 30 April, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.044102

Abstract

Magnetic resonance imaging (MRI) velocimetry methods are used to study fully developed axially symmetric fluid flow in a model porous medium of cylindrical symmetry with a transverse permeability discontinuity. Spatial mapping of fluid flow results in radial velocity profiles. High spatial resolution of these profiles allows estimating the slip in velocities at the boundary with a permeability discontinuity zone in a sample. The profiles are compared to theoretical velocity fields for a fully developed axially symmetric flow in a cylinder derived from the Beavers-Joseph [G. S. Beavers and D. D. Joseph, J. Fluid Mech. 30, 197 (1967)] and Brinkman [H. C. Brinkman, Appl. Sci. Res. A 1, 27 (1947)] models. Velocity fields are also computed using pore-scale lattice Boltzmann modeling (LBM) where the assumption about the boundary could be omitted. Both approaches give good agreement between theory and experiment, though LBM velocity fields follow the experiment more closely. This work shows great promise for MRI velocimetry methods in addressing the boundary behavior of fluids in opaque heterogeneous porous media.

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Phys. Rev. Fluids 3, 044102– Published 30 April, 2018
  • Received 10 December 2017
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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